This paper proposes another realistic application of the economic order quantity EOQ model. Researchers have studied EOQ models that assume the received lot contains items that are perfect and imperfect. All models in the literature assume that the received lot goes through a 100% inspection to separate acceptable items from the non-acceptable items. This paper argues that 100% inspection is no...

Sharing common production, resources and services to reduce cost are important for not for profit operations due to limited and mission-oriented budget and effective cost allocation mechanisms are essential for encouraging effective collaborations. In this paper, we illustrate how rigorous methodologies can be developed to derive effective cost allocations to facilitate sustainable collaboratio...

We introduce a dynamic economic lot sizing problem whose production cost considers both setup and the designed-and-yet stretchable production capacity. Demands and the control on production activities drive the evolution of the production system. We give a pseudo-polynomial algorithm for the problem when future demands are known. When there is uncertainty in future demands and there is no holdi...

In this paper we investigate the complexity of the economic lot-sizing problem with remanufacturing (ELSR) options. Whereas in the classical economic lot-sizing problem demand can only be satisfied by production, in the ELSR problem demand can also be satisfied by remanufacturing returned items. Although the ELSR problem can be solved efficiently for some special cases, we show that the problem...

A linear description for the economic lot-sizing problem consisting of exponentially many linear inequalities was given by Barany, Van Roy and Wolsey in 1984. Using this formulation we present a dual algorithm for the economic lot-sizing problem, which is of the same complexity as the Wagner and Whitin dynamic programming algorithm. Besides its use in sensitivity analysis the dual algorithm als...

This paper addresses a new mixed integer nonlinear and linear mathematical programming economic lot sizing and scheduling problem in distributed permutation flow shop problem with number of identical factories and machines. Different products must be distributed between the factories and then assignment of products to factories and sequencing of the products assigned to each factory has to be d...

This paper deals with an economic order quantity model where demand is stock dependent. Items received are not of perfect quality and each lot received contains percentage defective imperfect quality items, which follow a probability distribution. Two cases are considered. 1) Imperfect quality items are held in stock and sold in a single batch after a 100 percent screening process. 2) A hundred...